Finding the Fourth Proportional to 9,185.82, 12,676.32 and 5,206.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.82 : 12,676.32 = 5,206.96 : x
2. Step 2: Convert to fraction form
   9,185.82/12,676.32 = 5,206.96/x
3. Step 3: Cross multiply
   9,185.82x = 12,676.32 × 5,206.96
4. Step 4: Simplify right side
   9,185.82x = 66,005,091.19
5. Step 5: Solve for x
   x = 66,005,091.19/9,185.82
6. Step 6: Final answer
   x = 7,185.54